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Finding the Fourth Proportional to 13,750.21, 20,625.27 and 4,985.11

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Solution

The fourth proportional to 13,750.21, 20,625.27 and 4,985.11 is: 7,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.21 : 20,625.27 = 4,985.11 : x
  2. Step 2: Convert to fraction form
    13,750.21/20,625.27 = 4,985.11/x
  3. Step 3: Cross multiply
    13,750.21x = 20,625.27 × 4,985.11
  4. Step 4: Simplify right side
    13,750.21x = 102,819,239.73
  5. Step 5: Solve for x
    x = 102,819,239.73/13,750.21
  6. Step 6: Final answer
    x = 7,477.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.